Initially drafted in 1978 by the Expos, Deshaies did not sign a contract until four years later with the Yankees. In 1985 New York traded him for Joe Niekro and some players to be named later. In '91 he was granted free agency; he continued to play ball with several other teams until 1995.
Deshaies remained in baseball after his retirement. He has been in broadcasting, both on television and in radio.